What is the Greatest Common Factor of 11419 and 11438?

Greatest common factor (GCF) of 11419 and 11438 is 19.

GCF(11419,11438) = 19

We will now calculate the prime factors of 11419 and 11438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11419 and 11438.

How to find the GCF of 11419 and 11438?

We will first find the prime factorization of 11419 and 11438. After we will calculate the factors of 11419 and 11438 and find the biggest common factor number .

Step-1: Prime Factorization of 11419

Prime factors of 11419 are 19, 601. Prime factorization of 11419 in exponential form is:

11419 = 19¹ × 601¹

Step-2: Prime Factorization of 11438

Prime factors of 11438 are 2, 7, 19, 43. Prime factorization of 11438 in exponential form is:

11438 = 2¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 11419

List of positive integer factors of 11419 that divides 11419 without a remainder.

1, 19, 601

Step-4: Factors of 11438

List of positive integer factors of 11438 that divides 11419 without a remainder.

1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11419 and 11438. The biggest common factor number is the GCF number.
So the greatest common factor 11419 and 11438 is 19.

Also check out the Least Common Multiple of 11419 and 11438